Looking for good exhaust fan for bathrooms

I've been generally annoyed with how noisy and ineffective bathroom exhaust fans tend to be. At a previous residence, I basically threw the fan out and replaced it with a 140mm noctua fan and a 3d printed bracket.
i want to try this too but fans bigger than 140mm pc fan is harder to come by..
 
I have been using something like this and they work great.

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Size: 250 mm. I know it's big and somewhat loud. But these are features, not bugs.

No fogging.
 
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Interested in same.

Also, is there any exhaust fan which can act as intake fan (like some switch to reverse polarity/rotation direction)?
Yes , but mostly the industrial types .
The bigger the size , the slower it can be run to suck the same amount of air out . A 10 inch or 12 inch industrial fan behind a brushed aluminum grill would look decent and the power would also be there .